The longer leg of a 30°-60°-90° triangle measures 8 √(3) inches. What is the length of the shorter leg?​

Question

The longer leg of a 30°-60°-90° triangle measures


`8 √(3)`
inches. What is the length of the shorter leg?​

Answer 1

Length of shorter leg is 8 inches

Explanation:

Here, we want to calculate the length of the shorter leg of a 30-60-90 triangle

In a 30-60-90 triangle, the sides are in the ratio;

1: √3 : 2

So the ratio of the length of the shorter and longer leg is;

1 : √3

So in this case let the shorter leg be x

x/8 √3 = 1/√3

8 √3 * 1 = √3 * x

x = 8 √3/√3

x = 8 inches